1834479069696 has 2560 divisors, whose sum is σ = 7602713395200. Its totient is φ = 423054213120.

The previous prime is 1834479069679. The next prime is 1834479069707. The reversal of 1834479069696 is 6969609744381.

1834479069696 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 479 + 0 + 69 + 6 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25837733341 + ... + 25837733411.

It is an arithmetic number, because the mean of its divisors is an integer number (2969809920).

Almost surely, 2^{1834479069696} is an apocalyptic number.

1834479069696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834479069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801356697600).

1834479069696 is an abundant number, since it is smaller than the sum of its proper divisors (5768234325504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1834479069696 is a wasteful number, since it uses less digits than its factorization.

1834479069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 1834479069696 in words is "one trillion, eight hundred thirty-four billion, four hundred seventy-nine million, sixty-nine thousand, six hundred ninety-six".